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Finding the Fourth Proportional to 509.54, 702.22 and 415.99

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Solution

The fourth proportional to 509.54, 702.22 and 415.99 is: 573.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.54 : 702.22 = 415.99 : x
  2. Step 2: Convert to fraction form
    509.54/702.22 = 415.99/x
  3. Step 3: Cross multiply
    509.54x = 702.22 × 415.99
  4. Step 4: Simplify right side
    509.54x = 292,113.17
  5. Step 5: Solve for x
    x = 292,113.17/509.54
  6. Step 6: Final answer
    x = 573.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.